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A199532 Number of -n..n arrays x(0..4) of 5 elements with zero sum and no two consecutive zero elements 1
32, 320, 1324, 3734, 8470, 16682, 29750, 49284, 77124, 115340, 166232, 232330, 316394, 421414, 550610, 707432, 895560, 1118904, 1381604, 1688030, 2042782, 2450690, 2916814, 3446444, 4045100, 4718532, 5472720, 6313874, 7248434, 8283070 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A199530

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = (115/12)*n^4 + (115/6)*n^3 + (41/12)*n^2 - (1/6)*n

EXAMPLE

Some solutions for n=5

..2....1....3...-5....1....0....5....5...-3....4...-5....1...-5...-2....0...-1

.-5...-2....4....4....4...-1...-3....0...-1...-3....1....0....3....3....1....5

.-4...-2...-4....1....3....1...-3...-2....2...-5....2...-5...-2...-3...-3....3

..3....4...-1...-2...-5....3...-1...-1...-3...-1....2....4...-1...-2...-3...-3

..4...-1...-2....2...-3...-3....2...-2....5....5....0....0....5....4....5...-4

CROSSREFS

Sequence in context: A050279 A096764 A256802 * A165004 A244867 A173952

Adjacent sequences:  A199529 A199530 A199531 * A199533 A199534 A199535

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 07 2011

STATUS

approved

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Last modified December 6 06:58 EST 2016. Contains 278775 sequences.